X L x = M 0 y = V 0 0 = 4 - = dM w - =v c! 1,v 0 = = M - - 2 = 0 n 0 = C,L c + E2.dY = = - 5,x - wo2(1 - worc 5 = = dx2 = 0,0 = 0 = + f!zt) + f) 5 + 4 - + 23 0 = - c + c2 + twor = - -Wo xx + + wo,x2 5,x3 f!zt) EI IY x c + 12 M wtr twoL ↳ x D = by tak!ng !ntegral + 5. E) 0 = = wor2 = 3(E)) 5(z) - wo(2x = dx x wo[2 = 0 = xx + c + + xx5) ç.x + + c2x c + + dx Ez.y x ( * wo. - 3 · ) + I - E5 T y - x a2.x + + cn + = I **Rox!*)+ = x = wo + 0 = = ox! - 0,y 0C = EI.y x - = x 1 + I 6.0 5- x 1022 2L wo.2.j = - 1 12 E I y = - 2 + wo." El - t worx 4x - - woh !k!x) +1 - I 1 ! Es [ Fy IMA 0,25 0 x 0 y = y E I B x X I Ax A = ↑ = M Ay-25-20.10.5) Ey 0 + 0 = IFx - 25.10.81 Ax 0 = w(x) V!x) wo = = + 35 = + Ey 0 = 14.4 = Ay 0 = (X-1.53 (w(xdx - Ay Ey 0 = 10.(1.75) (2.6) Ey - -wo 0 = 20kN wo Ey = 2.6 = 20.6 = (x-23 Ay(x 830 - + 25(x - - 0.83 Ey(x 2,6 + - - - M(x) wo(x-1.5)" wo(x = - - 1,5) 2 wo(x- + w(x + - 23 2)2 Ay(x 01 + - - 25xx +Ey EI.dY 0.8) - (x - 2.6) M(x) = &! Et.d - = (x - 1,5 w(x + - 23 xy(x + + - 02 25(x - - 0.8 2 E3(x - 2,6) c + =2.y = - w(x - 1,5) wo(x + - 2 Ay(x + 24 x 0,y = (2 0 0 = 0 - 25(x 2.6,y 0 5(1.1" = Ey(x - 2,6 - (0.6" + z(x - 1,5) (x + - 2) 3.y(x + po!nt c x 03 - - = 13.41 25(x - - 0.8) 13.41x 1.5 = (0.73-11.41). (2.5) - EI.y 3.441.5) = y - 25x.8) 0 2.4(x -2.632 + - = 21 at + 3.4x2.6 2,12.6) - (,x C2 + + + = 0.8) = = E1.y - 6 6 + x - -9.97kN.m = = El - S,97.10 3 =-1.15 =1.19m 8349.6 Tomm -- 2 slope EI.dy at A, 0 7.R 1.10,015)" = = x = - EI 8345.6 = N.r2 0 = 13.4) - = 13.41kN. m2 ax - 13,41 x 8349.6 10 - = 1,606 rad En 1,606 = rad, 2 wa Mn o 2 = ↓ Ay for c I N IFy Ay+ - 2 I 2 wa Ay · A Al 2wa I = -I wa 0 = wa IMA 0 a 1,5 = I 3 0 = X a -Mx 2wa(2a) + - 2wa 0 = MA 2 = wa (waz) (waz) ⑦c. 2 - EI A1 = Az + A3 + Az I 1 I 2a U ycEt x A,(1.5a) Az10.5a) Ay(a) + = + & ~ I- A] M A] Al ⑦c. Ez 6wa = - Iwas Az 3 was=0.1333. was + EI Ec 0.1333. = was EI / "( Gwa(0.5a) 6wab.(1.5a) yx, EI + = wa" 2.467 yc = D M b M 2 36was(a) 4 EI for - - 2 I - A4 - Az Al I 2a U I ' Ju 20 X I 54 As (waz) -8 - (wa) Al 50. EI 88 I 10was+ = = - was - 20 was+swad wa 0.667 An A] Az 80 0.667 = was), EI y0. EI Al.(2.5a) = EI Az)2.5a) + IP wahtwah. 25 I 3 yo 1.662 = wah EI ( 100 3 ↑ As + (54) wah+20 wah 3 An(a) + K ~(x a)!w(x 3ab (y(x 0) (x ·"t"r- 55 - - - - M(x + ess!r 7 - - J - 5 r) cY + of metas 5 and-Sams-zowas+ - MAe e Ay ↓ 14 I I M-2aw.a I 3aGwa-nwa + = x 0 = y0 = w(x =0 w(x = a) = - w(x - = a)" w(x - w(x a) V(x) M(x - w(x - - 3a) -3a) - Ay(x 0)P - 01 w(x 3a)" Ay(x - - - - P(x - - P(x + y(x El = - a) - f(x 3a) - - (y(x - 0) ⑮ Y(x - a) - (x - 3a)" - 16x - 5a) - M(x M(x + - 0 - (x y(hu)" z(2a) zwa<5a)" - = - - was-was-20wa3+10wn ↳> 2 w - 0) (x - + 0 5n) - - - 5 R) ~0 C! + 5a) (x - 03 c wa.8 + + zwar(sah Y(x - a) - (x - 3a)" - 16x - 0 - (x + hu) * 2 - - (2a)" (wa(5n)" - 5 - y - - 5a) (x 0 - 03 c + war5a)" +